Abstract
This chapter discusses the reduction of linear ordinary differential equations (ODEs) to a first-order system. By introducing variables to represent the derivatives in an nth order linear ordinary differential equation, a first-order system of differential equations may be obtained. The chapter discusses the procedure for reduction of linear ODEs to first-order system and also analyzes an example. It highlights that many packaged computer programs require the input to be in the form of a first-order vector system. The method of elimination is the opposite of the method presented in the chapter. In the method of elimination, a system of simultaneous equations is converted into a single equation of higher order.
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